Your biggest problem is that the headshell is unusable - the bayonet section is broken off. You might be able to superglue or JB weld it back, but there isn't a whole lot of contact area, so the glue may not hold. If it was sold to you as a good headshell, you have a legitimate beef with the seller/shipping company. Headshells are available on the used market, but they are not cheap. The bayonet mount looks like the standard SME/Japanese headshell, but the two ESL arms I've had used a diamond shaped orientation for the pins rather than the standard square orientation, but there is no compatibility. And, if I recall correctly, the spring loaded set of pins are in the headshell, not the arm, so when you solder the wires to the pins, you have a chance of melting the plastic and immobilizing the pins.
It looks like the arm is set up for stereo - you have a red and a white hot, and two black grounds (and a pencilled in R and L), but there is only one RCA off the solder tabs. Easy fix.